78842844 ÷ 419 
Our goal is to divide 78842844 by 419.

Step 1:
7 divided by 419 is 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Include the next digit (8) from the dividend after 7, then repeat: 78 / 419

Step 2:
The number 419 fits into 78 0 times, leaving a remainder of 78.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 78 to get 78.
Take the next digit (8) from the dividend and append it to 78, then repeat: 788 / 419

On to step 3:
419 can be fit into 788 1 times, resulting in a remainder of 369.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 419 from 788, we get 369.
Append the next digit (4) from the dividend to 369 and continue with: 3694 / 419

Let's proceed to step 4:
If we divide 3694 by 419, we get 8 and a remainder of 342.
Record the quotient 8 as the next digit in the result. 
Result so far: 18.0
If we take 3352 away from 3694, we end up with 342.
Grab the next digit (2) from the dividend, add it to 342, then carry on: 3422 / 419

On to step 5:
3422 divided by 419 is 8 with a remainder of 70.
Record the quotient 8 as the next digit in the result. 
Result so far: 188.0
If we subtract 3352 from 3422, we get 70.
Include the next digit (8) from the dividend after 70, then repeat: 708 / 419

On to step 6:
419 goes into 708 1 times with a remainder of 289.
Write down 1 as next digit of the result. 
Result so far: 1881.0
Deduct 419 from 708 and we're left with 289.
Fetch the next digit (4) from the dividend, attach it to 289 and continue: 2894 / 419

Let's proceed to step 7:
If we divide 2894 by 419, we get 6 and a remainder of 380.
Put 6 as the next digit of the answer. 
Result so far: 18816.0
If we take 2514 away from 2894, we end up with 380.
Fetch the next digit (4) from the dividend, attach it to 380 and continue: 3804 / 419

Advancing to step 8:
If we divide 3804 by 419, we get 9 and a remainder of 33.
Write down 9 as next digit of the result. 
Result so far: 188169.0
If we subtract 3771 from 3804, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Moving on to step 9:
If we divide 330 by 419, we get 0 and a remainder of 330.
The number 0 becomes the next digit in our result. 
Result so far: 188169.0
Deduct 0 from 330 and we're left with 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3300, and continue the process.

Advancing to step 10:
When dividing 3300 by 419, we get 7 with a remainder of 367.
Use 7 as the next digit of our solution. 
Result so far: 188169.07
If we subtract 2933 from 3300, we get 367.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3670, and continue the process.

Going ahead to step 11:
419 goes into 3670 8 times with a remainder of 318.
The next digit of our result is 8. 
Result so far: 188169.078
The remainder is 318 after subtracting 3352 from 3670.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3180, and continue the process.

Going ahead to step 12:
When dividing 3180 by 419, we get 7 with a remainder of 247.
Record the quotient 7 as the next digit in the result. 
Result so far: 188169.0787
Deduct 2933 from 3180 and we're left with 247.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2470, and continue the process.

Step 13:
419 can be fit into 2470 5 times, resulting in a remainder of 375.
Write down 5 as next digit of the result. 
Result so far: 188169.07875
If we take 2095 away from 2470, we end up with 375.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3750, and continue the process.

Step 14:
If we divide 3750 by 419, we get 8 and a remainder of 398.
Use 8 as the next digit of our solution. 
Result so far: 188169.078758
Deduct 3352 from 3750 and we're left with 398.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3980, and continue the process.

Going ahead to step 15:
419 goes into 3980 9 times with a remainder of 209.
Use 9 as the next digit of our solution. 
Result so far: 188169.0787589
Subtracting 3771 from 3980 leaves us with 209.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2090, and continue the process.

On to step 16:
419 can be fit into 2090 4 times, resulting in a remainder of 414.
The next digit of our result is 4. 
Result so far: 188169.07875894
Subtracting 1676 from 2090 leaves us with 414.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4140, and continue the process.

The quotient of the division is 188169.07875894, and the remainder is 4.14e-07.